Construction of entangled states with positive partial transposes based on indecomposable positive linear maps

DOI10.1016/j.physleta.2004.04.008zbMath1161.81313arXivquant-ph/0310109OpenAlexW2112114414MaRDI QIDQ2479055

Seung-Hyeok Kye, Kil-Chan Ha

Publication date: 26 March 2008

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0310109

zbMATH Keywords

entanglementpositive partial transposeindecomposable positive map

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Quantum measurement theory, state operations, state preparations (81P15)

Related Items (10)

Entanglement Witnesses Arising from Exposed Positive Linear Maps ⋮ Geometry of Entanglement Witnesses for Two Qutrits ⋮ Geometry of the Faces for Separable States Arising from Generalized Choi Maps ⋮ Global Geometric Difference Between Separable and Positive Partial Transpose States ⋮ Separable states and positive maps ⋮ Separable states with unique decompositions ⋮ FACIAL STRUCTURES FOR VARIOUS NOTIONS OF POSITIVITY AND APPLICATIONS TO THE THEORY OF ENTANGLEMENT ⋮ On the Structure of Entanglement Witnesses and New Class of Positive Indecomposable Maps ⋮ Entanglement Witnesses for a Class of Bipartite States of n × n Qubits ⋮ Classification of bi-qutrit positive partial transpose entangled edge states by their ranks

Cites Work

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• Separability criterion and inseparable mixed states with positive partial transposition.
• Decomposable Positive Maps on C ∗ -Algebras
• On the convex set of completely positive linear maps in matrix algebras
• Duality for positive linear maps in matrix algebras
• Characterization of separable states and entanglement witnesses
• A family of indecomposable positive linear maps based on entangled quantum states

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